“…The dynamical theory of persistence has been extensively used in biological population dynamics, ecology, epidemiology, chemical reactions, game theory, neural networks and other important areas of applied sciences and engineering. The references Anderson [2], Bonneuil [3], Butler and Wolkowicz [4], Calzada et al [5], Cantrell and Cosner [6], Craciun et al [7], Hale and Waltman [19], Hofbauer and Sigmund [22], Johnston et al [25], Smith and Thieme [49] and Takeuchi [50] illustrate some of the classical and also more recent applications of the mentioned theory in these fields.…”